Index NumbersMCQMTP Oct 21Question 3908 of 197
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If ∑P0Q0=1360\displaystyle ∑\displaystyle \sum P_0 Q_0 = 1360, ∑P1Q0=1900\displaystyle ∑\displaystyle \sum P_1 Q_0 = 1900, ∑P0Q1=1880\displaystyle ∑\displaystyle \sum P_0 Q_1 = 1880 then the Laspeyre's Index is

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option b — $139$

All Options:

  • A$71$
  • B$139$
  • C$175$
  • DNone of these

Detailed Solution & Explanation

We are given: - ∑P0Q0=1360\displaystyle ∑\displaystyle \sum P_0 Q_0 = 1360 - ∑P1Q0=1900\displaystyle ∑\displaystyle \sum P_1 Q_0 = 1900 The Laspeyres price index is: P01L=∑P1Q0∑P0Q0×100=19001360×100≈139.71%P_{01}^L = ∑P1Q0∑P0Q0\displaystyle \frac{\sum P_1 Q_0}{\sum P_0 Q_0} ×\displaystyle \times 100 = 19001360\displaystyle \frac{1900}{1360} ×\displaystyle \times 100 ≈\displaystyle \approx 139.71\% This is closest to $139$ (Option B). *(Note: Although some answer keys point to Option A ($71$) due to an inverted formula $∑P0Q0∑P1Q0\displaystyle \frac{\sum P_0 Q_0}{\sum P_1 Q_0} ×\displaystyle \times 100 = 71.58$, the mathematically correct Laspeyres Index is 139.71%, which corresponds to Option B).* Hence, **Option B** is the correct answer.

About This Chapter: Index Numbers

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Construction of Index Numbers, Time Series

This chapter covers Construction of Index Numbers, Time Series and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

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Shifted Price Index = Original Price IndexPrice Index of the year on which it has to be shifted×100\displaystyle Original Price IndexPrice Index of the year on which it has to be shifted\displaystyle \frac{\text{Original Price Index}}{\text{Price Index of the year on which it has to be shifted}} ×\displaystyle \times 100

If Laspeyres's Index Number is 250 and Paasche's Index Number is 160, then Fisher's Index number is

If ∑P0q0=240\displaystyle ∑\displaystyle \sum P_0q_0 = 240, ∑P1q0=480\displaystyle ∑\displaystyle \sum P_1q_0 = 480, ∑P0q1=600\displaystyle ∑\displaystyle \sum P_0q_1 = 600 and ∑P1q1=192\displaystyle ∑\displaystyle \sum P_1q_1 = 192, then Laspeyres's Index Number is

If ΣPnqn=249\displaystyle Σ\displaystyle \Sigma P_n q_n = 249, ΣP0q0=150\displaystyle Σ\displaystyle \Sigma P_0 q_0 = 150, ΣPnq0=145\displaystyle Σ\displaystyle \Sigma P_n q_0 = 145 and Paasche's Index Number = 150, then Fisher's Ideal Price Index Number is

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